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At a restaurant, glasses are stored in two different-sized b

At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more...

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If a and b are non-zero integers, and a/b > 1, then which of

If a and b are non-zero integers, and a/b > 1, then which of the following must be true? A. a > b B. 2a > b C. a^2< b^2 D. ab > b E. a^3 < b^3

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What is the greatest common factor of positive integers x an

What is the greatest common factor of positive integers x and y? (1) The greatest common factor of x/2 and y/2 is 5. (2) x and y are even.

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[x] denotes the greatest integer less than or equal to x.

[x] denotes the greatest integer less than or equal to x. What is the value of [x]? (1) [3x] = 1 (2) [2x+1] = 2

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Pat traveled a distance of 240 miles in x hours. For a part

Pat traveled a distance of 240 miles in x hours. For a part of journey he was travelling at constant speed of 40 miles per hour whereas for the remaining part of the journey he was traveling at...

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Which of the following inequalities specifies the shaded reg

Attachment:image 1.pngWhich of the following inequalities specifies the shaded region to the left? A. \sqrt{x^2+ 1}< 3 B. |2x - 3| < 5 C. |x + 1| > -1 D. x - 2 < 2 E. |x - 1| < 4[Reveal]...

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At a conference, the only events scheduled for the day are s

At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive...

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5 and 15 are the first two terms in a geometric sequence.

5 and 15 are the first two terms in a geometric sequence. What is the arithmetic difference between the 11th term and the 13th term? A. 3*5^2 B. 5* 3^13 - 5 * 3^11 C. 5^13 D. 40 * 3^10 E. 3^12 -...

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A circular lawn with a radius of 5 meters is surrounded by a

A circular lawn with a radius of 5 meters is surrounded by a circular walkway that is 4 meters wide. What is the area of the walkway? To figure out the area of the walkway I found the difference...

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INEQUATIONS(Inequalities) Part 2

This is the second part of this Article. If you have not gone thru the first part, it is highly recommended to study the same at first and then study this. Here is the link to the first Part of the...

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Machine A currently takes x hours to complete a certain job.

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If xy < 4, is x < 2 ?

If xy < 4, is x < 2 ? (1) x > y (2) y is positive.

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An investment compounds annually at an interest rate of 34.1

An investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value? A 3 B 4 C 6 D 9 E 12

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Two cars are traveling side-by-side along the same road. At

Attachment:Cars.pngTwo cars are travelling side-by-side along the same road. At time 0, car 1 turns off onto another road. Two hours later, both cars are at the same horizontal position on their...

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Four equilateral triangles are inscribed within each other a

Attachment:Triangle.pngFour equilateral triangles are inscribed within each other as pictured here. If the perimeter of the outer triangle is 24, what is the area of the innermost triangle? A....

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In the image, lines l and m are parallel. Of the 16 angles s

Attachment:angles.gifIn the image, lines l and m are parallel. Of the 16 angles shown, what is the minimum number angles that would need to be provided in order to guarantee that all 16 angles could be...

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If t = 1/[(2^9)*(5^3)] is expressed as a terminating decima

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A transportation token is originally a circle. When collecte

Attachment:diagram.pngA transportation token is originally a circle. When collected they are clipped as shown. If the center of this token is E, what is the perimeter of the circular shape presented...

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In the figure shown, all the lines pass through point A in t

Attachment:angles diagram.pngIn the figure shown, all the lines pass through point A in the center. Angle KAH is 85 degrees. Is the value of x (angle KAJ) less than 40 degrees? (1) Angle DAF is 50...

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Quadrilateral ABCD is inscribed in circle K. The diameter of

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